Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
288 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 96. Q8×C13 | Q32 | semidirect |
| 203. C13 | #12358 | semidirect |
| 211. Q8 | #88069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117065 | 2 |
| #13116886 | 2 |
| #13114206 | 2 |
| #13112894 | 2 |
| Q8⋊#6090 | 2 |
| #13112800 | 2 |
| Q8×C13×Q16 | 2 |
| #12358 | 13 |